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To determine the force in member \( GH \) of this truss, we can use the method of sections or the method of joints. Given the information and layout, I'll outline the solution steps:

1. **Determine Support Reactions:**
   - First, calculate the reactions at supports \( A \) and \( O \), since the structure is statically determinate.
   - Sum of moments around point \( A \) or \( O \) will help to find these reactions, accounting for the external loads (vertical and horizontal forces).

2. **Apply Method of Sections:**
   - By "cutting" the truss through members \( GH \), \( HI \), and \( ML \), we can isolate the section with joint \( GH \).
   - This method is ideal since it allows direct calculation of forces in the cut members.

3. **Equilibrium Equations:**
   - For the isolated section, apply the following equilibrium equations:
     - Sum of horizontal forces: \( \sum F_x = 0 \)
     - Sum of vertical forces: \( \sum F_y = 0 \)
     - Sum of moments about a convenient point (e.g., point \( H \)).

4. **Solve for Force in Member \( GH \):**
   - Substitute values for the forces and distances, and solve the equations to determine the force in \( GH \).
   - Given that \( P_1 = 244 \, \text{kN} \) and \( P_2 = 4 \, \text{kN} \), include these loads in your calculations.

5. **Check Compression or Tension:**
   - If the calculated force in \( GH \) is positive, it indicates tension. If negative, it indicates compression.

Would you like a detailed calculation for each step, or do you have specific questions about one part of the method?

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### Follow-Up Questions

1. What is the method of sections, and how does it apply to analyzing trusses?
2. How do you identify if a member is in tension or compression based on calculated force values?
3. What are the typical equilibrium equations used in statics for truss analysis?
4. Why is choosing the right point for summing moments important in truss analysis?
5. How would the analysis differ if one of the support reactions were unknown?

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### Tip
When analyzing trusses, always start by calculating support reactions. This simplifies subsequent steps by establishing boundary conditions for forces and moments.

Determine the force in member GH of the truss, given forces P1 = 244 kN and P2 = 4 kN. If the member is under compression, enter a negative value; if under tension, enter a positive value.

This problem explores truss analysis techniques to determine the force in member GH of a roof-supporting truss. Using known forces P1 = 244 kN and P2 = 4 kN, we apply equilibrium equations and the method of sections to calculate whether the member is under tension or compression.

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